Thank you for those replies. I estimate Elizabeth's birth as 1808 or 1809.
If she became Elizabeth Bayes in 1834 in Rushden, we can expect to find them living
in Northamptonshire. I believe there is evidence that she died in Rushden in 1863.
Your point about dissenters is a good one, although after 1834 the Bayes family are
connected with the established church.
There is evidence of a brother born in Dean who turns up in Raunds near Rushden who
is connected with a tailor there, so that would fit your point about William Burgess.
Thank you for the point about Yelden. I will look at other villages near by.
AS